How to animate textures / how to read animation clips at an offset
First of all you can bake your animation of the baked sound f-curve, so that it becomes editable. 

Then you can use that f-curve value to modify any other value using drivers.

In my example the Y loc of the bone is driving the Y mapping of the texture, so the checker is moving up and down (on Y axis) following the music.

Check also the "stepped interpolation" f-curve modifier, to simplify the sound curve and have more punchy movements.